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Finding the Fourth Proportional to 5,334.71, 7,361.15 and 3,096.68

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Solution

The fourth proportional to 5,334.71, 7,361.15 and 3,096.68 is: 4,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.71 : 7,361.15 = 3,096.68 : x
  2. Step 2: Convert to fraction form
    5,334.71/7,361.15 = 3,096.68/x
  3. Step 3: Cross multiply
    5,334.71x = 7,361.15 × 3,096.68
  4. Step 4: Simplify right side
    5,334.71x = 22,795,073.69
  5. Step 5: Solve for x
    x = 22,795,073.69/5,334.71
  6. Step 6: Final answer
    x = 4,272.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.